Question

Please answer this question with an explanation

Answer 1

Let the radius of semicircle with center A = AL .

Let the radius of semicircle with center B = BL .

Let center of red circle = O .

Area of semicircle with center A = πr² / 2

= π (AL)² / 2 ------- ( 1 )

Area of semicircle with center B = πr² / 2

= π (BL)² / 2 --------- ( 2 )

Area of circle with center O = π ( OL )² .

Adding (1) and (2) ..

= π/2 ( (AL)² + (BL)² )

But ( AL = BL )

= π/2 ( 2(AL)²)

= π ( AL )²

By figure .. we can see . OL is three times AL ..

so ..

So the portion shaded red is ..

= 3/4 ..

Answer 2

Step-by-step explanation:

The radius of semicircle be r.

Then, the radius of circle will be 3r.

Thus the purple portion covers only one part of the circle.

The red portion covers three parts of the cirlce.

That is 3/4 th of the circle.

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